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Second-order boundary corrections to the radial acoustic eigenvalues for a spherical cavity

Published

Author(s)

Keith A. Gillis

Abstract

We calculated the eigenvalues of the radially-symmetric acoustic modes of a gas-filled, spherical cavity to order (δT/a)2, where δT is the thickness of the thermal boundary layer and a is the radius of the cavity. Our results are consistent with high-precision acoustic measurements made to re-determine the Boltzmann constant.
Citation
Metrologia
Volume
49
Issue
6

Keywords

Boltzmann constant, spherical resonator, speed of sound, second order, radial modes, eigenvalues

Citation

Gillis, K. (2012), Second-order boundary corrections to the radial acoustic eigenvalues for a spherical cavity, Metrologia, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=911620 (Accessed October 7, 2025)

Issues

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Created August 17, 2012, Updated February 19, 2017
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